Question

Need help with this question

Answer 1

assuming you're not suppose to use a calculator to solve this,


`(4.8 * 10^8)/(1.2 * 10^4) * (2.2 * 10^(-6))`

now, start by only looking at and multiplying/dividing the "10s"


`(10^8)/(10^4) * 10^(-6)`

`10^4 * 10^(-6)`

`10^(-2)`

so when you multiply/divide the 10s, you get 10^-2

now look at the other numbers (4.8, 1.2,2.2)


`(4.8)/(1.2) * 2.2`

`4 * 2.2`

`8.8`

multiply the two answers

`8.8 * 10^(-2)`


if you're asking why you can solve it this way, its because you multiplication is commutative/associative (you can multiply numbers in any order and group them however you want and still get the same answer)